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40649236164 = 22321493756293
BaseRepresentation
bin100101110110111000…
…100001111011000100
310212220220201011002100
4211312320201323010
51131222201024124
630401330112100
72636216543415
oct456670417304
9125826634070
1040649236164
111626a485859
127a6541b630
133aaa729984
141d788cd80c
1510cd9cd1c9
hex976e21ec4

40649236164 has 36 divisors (see below), whose sum is σ = 102821194476. Its totient is φ = 13540651968.

The previous prime is 40649236127. The next prime is 40649236211. The reversal of 40649236164 is 46163294604.

40649236164 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 9 + 23 + 616 + 4 = 666.

40649236164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30192537600 + 10456698564 = 173760^2 + 102258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324399 + ... + 431894.

It is an arithmetic number, because the mean of its divisors is an integer number (2856144291).

Almost surely, 240649236164 is an apocalyptic number.

It is an amenable number.

40649236164 is an abundant number, since it is smaller than the sum of its proper divisors (62171958312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40649236164 is a wasteful number, since it uses less digits than its factorization.

40649236164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757796 (or 757791 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 40649236164 in words is "forty billion, six hundred forty-nine million, two hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1493 2986 4479 5972 8958 13437 17916 26874 53748 756293 1512586 2268879 3025172 4537758 6806637 9075516 13613274 27226548 1129145449 2258290898 3387436347 4516581796 6774872694 10162309041 13549745388 20324618082 40649236164